The train will use shared tracks. I will bet one million dollars it will run into scheduling issues and when you’re stuck on land it will suck. Source: former Amtrack customer. Same story, and I doubt a project that’s been mismanaged so far will fare any better if actually realized.
I take the Caltrain to work almost every day and it's on shared tracks (in fact it will the same shared tracks that HSR uses). It's rarely late by more than a few minutes.